Q2. A car accelerates on a straight road from rest to a speed of 50ms-1 in 25s.The distance covered by the car in this time is

1m.

100m.

625m.

1250m.

Q3. On being slightly displaced, if the distance between the centre of gravity of a body and the ground remains unchanged, the body is

in stable equilibrium.

in neutral equilibrium.

in unstable equilibrium.

not in equilibrium at all.

Q4. A ball moving to and fro about the lowest point of a smooth hemispherical bowl is able to rise upto a height of 45 cm on either side. Its speed at the lowest point is (g=10ms-2)

0.45ms-1.

3ms-1.

4.5ms-1.

9ms-1.

Q5. The gain in potential energy of a body of masses M raised from the surface of the Earth to a height equal to radius R of the Earth is

2MgR.

MgR.

MgR/2.

MgR/4.

Q6. Two bodies of unequal masses moving with velocities V1 and V2, respectively, have same kinetic energy. The ratio of their linear momenta is

Q7. For a particle executing uniform circular motion

velocity is transverse, acceleration is radial.

velocity is radial, acceleration is transverse.

both velocity and acceleration are transverse.

both velocity and acceleration are radial.

Q8. Consider the Earth moving around the Sun in a circular orbit. Which of the following statements is true?

The Earth does some work while moving in its orbit.

The Earth does no work while moving in its orbit.

The kinetic energy of the Earth changes during the motion.

The potential energy of the Earth changes during the motion.

Q9. In a thermodynamic process, the pressure of a fixed mass of gas is changed in such a manner that the gas releases 20 J of heat and 8J of work is done on the gas. If the initial internal energy of the gas was 30J, the final internal energy is

2 J.

10 J.

18 J.

58 J.

Q10. The lowest possible temperature on the Kelvin scale is 0K. AT this temperature which of the following statements is true?

The volume of the gas becomes zero.

The pressure of the gas becomes zero.

The mass of the gas becomes zero.

All the molecular motion ceases.

Q11. The length of a simple pendulum is increased by 44%. Its time period will increases by

10%.

20%.

40%.

44%.

Q12. If two simple harmonic waves of the same frequency are superimposed, the resultant wave is

simple harmonic wave of half the frequency.

simple harmonic wave of the same frequency.

simple harmonic wave of double the frequency.

not a simple harmonic wave.

Q13. The electric field inside a charged metallic hollow sphere is

zero.

same as that on the surface.

less than that on the surface.

greater than that on the surface.

Q14. An electric charge in uniform motion produces

magnetic field only.

electric field only.

neither electric field nor magnetic field.

both electric field and magnetic field.

Q15. Which of the following statements regarding image formation is true for the laws of reflection?

they hold for plane mirror only.

they hold for convex mirror only.

they hold for concave mirror only.

they hold for all-plane, convex and concave mirrors.

Q16. In a double slit interference pattern, the first maxima for infrared light would

be at the same place as that for the green light.

be farther from the center than that for the green light.

be closer to the center than that for the green light .

not be formed at all as infrared light does not produce interference pattern.

Q17. After two hours (1/16)th of the initial amount of a radioactive specimen remains undecayed. The half life of the specimen is

15m.

30m.

45m.

1h.

Q18. When a metallic surface is illuminated with a light of frequency ν, the stopping potential for the photocurrent is 3V. When the same surface is illuminated with light of frequency ν/2, the stopping potential becomes 1V. The threshold frequency for the surface is

ν

ν/3

ν/4.

ν/5.

Q19. The value of equals

–i

1

-1

i

Q20. The condition for polynomial equation to be a quadratic is

a>0

a<0

Q21. If a,b,c are in A.P. then equals

Q22. The median of the following data 11,29,17,21,13,31,39,19

32

19

21

20

Q23. Value of is

-1

1

2

0

Q24. tan3x is periodic with periodic

2

/2

/3

Q25. The coefficient of in the expansion of is

1

n

n

Q26. The function has a stationary point at

x=e

x=1/e

x=1/2

x=e+1

Q27. is equal to

log()+c

log()+c

- log()+c

log(x)+c

Q28. The differential equation satisfied by is

Q29. Three lines px+qy+r=0,qx+ry+p=0 and rx+py+q=0 ae concurrent if

p+q+r=0

p-q+r=0

p+q-r=0

2p+q+r=0

Q30.

Q31. The vertex of parabola is

(4,7/2)

(4,9/2)

(9/2,4)

(1,0)

Q32. Which of the following is not an equivalence relation

is an even integer

is an even integer

Q33. If A and B are two finite sets with cardinality m and n respectively, then the number of relations from A to B is

m+n

Q34. then k is equal to

-2log5

-2/log5

2log5

-1/2(log5)

Q35. The probability that a leap year will have 53 Fridays or 53 Saturdays is

2/7

3/7

4/7/

1/7

Q36. If P(A+B)=5/6, , the P(A) is equal to

2/3

1/3

½

2/5

Q37. For the process: Dry ice →CO2(g)

∆H is +ve ∆S is –ve

Both ∆H and ∆S are negative

Both ∆H and ∆S are positive

∆H is –ve whereas ∆S is +ve

Q38. The oxide which possesses electrical conductivity is:

V2O5

CrO2

NiO

MnO2

Q39. In the following phase of orbitals, the larger effective nuclear charge will be experienced by

I. 2s and 3s II. 4d and 4f III. 3d and 3p

2s, 4d, 3d

3s, 4f, 3p

2s, 4f, 3d

2s, 4d, 3p

Q40. Sulphuric acid molecules contains

Only covalent bonds

Covalent ɛ’ ionic bonds

Covalent ɛ’ coordinate bonds

Covalent ionic and coordinate bonds

Q41. A first order reaction is half completed in 45 minutes. How long does it need for 99.9% of reaction to be completed?

Q51. Which of the following reagents is useful is separating aniline form a mixture of aniline and nitrobenzene?

Aqueous NaOH

H2O

Aqueous NaHCO3

Aqueous HCl

Q52. Identify the compound ‘C’ in the sequence CH3CNA B C

CH3COOH

CH3CH2NHOH

CH3CONH2

CH3CHO

Q53. Table sugar is a

Disacchoride of D-glucose and D- fructose

A monosaccharide

D- glucose

Disaccharide of two glucose units

Q54. A medicine which promotes secretion of urine is called

Diuretic

Antipyretic

Analgesic

Sedative

Tick the option that is close in meaning to the given expression

Q55. essay

to try

to resign

to write

to propose

Q56. explicit

inflexible

vague

clear

already quoted

Choose the option that will complete the sentence

Q57. My intention is ____________ my project by June.

finishing

finished

to finish

finish

Q58. The argument is centred _______ whether or not to lower the age limit.

about

on

over

towards

Read the passage and answer the questions that follow by choosing the right option

Vancouver is one of the world’s food capitals, boasting many high quality dining experiences. With so many culinary traditions to draw upon, eating out in Vancouver is a varied and relatively inexpensive affair. The city is obsessed with its restaurants, and locals make a regular habit of trying new venues to wine and dine. As the tour guide pointed out, there is not a single person walking on the streets of Vancouver without a big mug of coffee or something to munch on.

Q59. Which of the following is not a reason for the people of Vancouver to eat out?